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Chapitre D'ouvrage Année : 2019

SOME RELATIONS BETWEEN BOUNDED BELOW ELLIPTIC OPERATORS AND STOCHASTIC ANALYSIS

Résumé

We apply Malliavin Calculus tools to the case of a bounded below elliptic rightinvariant Pseudodifferential operators on a Lie group. We give examples of bounded below pseudodifferential elliptic operators on R d by using the theory of Poisson process and the Garding inequality. In the two cases, there is no stochastic processes besides because the considered semi-groups do not preserve positivity.
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Dates et versions

hal-02367486 , version 1 (18-11-2019)

Identifiants

  • HAL Id : hal-02367486 , version 1

Citer

Remi Leandre. SOME RELATIONS BETWEEN BOUNDED BELOW ELLIPTIC OPERATORS AND STOCHASTIC ANALYSIS. Fractional Calculus., In press. ⟨hal-02367486⟩
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